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Incoherent Coxeter Groups


Authors: Kasia Jankiewicz and Daniel T. Wise
Journal: Proc. Amer. Math. Soc. 144 (2016), 1857-1866
MSC (2010): Primary 20F55
DOI: https://doi.org/10.1090/proc/13013
Published electronically: January 26, 2016
MathSciNet review: 3460148
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Abstract: We use probabilistic methods to prove that many Coxeter groups are incoherent. In particular, this holds for Coxeter groups of uniform exponent $ >2$ with sufficiently many generators.


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Additional Information

Kasia Jankiewicz
Affiliation: Department of Mathematics & Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
Email: kasia@math.mcgill.ca

Daniel T. Wise
Affiliation: Department of Mathematics & Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
Email: wise@math.mcgill.ca

DOI: https://doi.org/10.1090/proc/13013
Keywords: Coxeter groups, Morse theory, coherent groups
Received by editor(s): March 10, 2015
Published electronically: January 26, 2016
Additional Notes: This research was supported by NSERC
Communicated by: Kevin Whyte
Article copyright: © Copyright 2016 American Mathematical Society